New

New

Year 9

# Non-equally likely outcomes

I can state when outcomes will not be equally likely.

New

New

Year 9

# Non-equally likely outcomes

I can state when outcomes will not be equally likely.

## Lesson details

### Key learning points

- Events with outcomes that are likely to not be equally likely can be identified
- Outcomes that are not equally likely can be identified and compared
- Factors can be identified that can cause one outcome to be more/less likely than another

### Common misconception

The outcomes of a trial are always equally likely to occur (e.g. each of the two players in a tennis match are equally likely to win).

There are factors that may affect how likely one outcome is compared to another (e.g. the skill or experience of one tennis player compared to the other).

### Keywords

Event - An event is a subset of a sample space. It could be a particular outcome or be a set of outcomes that may occur from a trial.

Discuss other situations that have multiple outcomes and consider what factors may affect which outcome is more likely to occur (e.g. a pupil being on time or late for school, which lunch item the next person in the queue may pick, etc).

Teacher tip

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

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### 6 Questions

Q1.

A __________ is a single predefined test.

likelihood

outcome

sample space

Q2.

What is an 'outcome'?

a single predefined test

the chance that a particular event will occur.

Q3.

Complete the following sample space for the outcomes of the spinner. ξ = {A, I, R, T, }.

Q4.

A regular six-sided dice is rolled once. In which sample space are the outcomes equally likely?

ξ = {cube number, not a cube number}

ξ = {multiple of 1, not a multiple of 1}

Q5.

In which spinner are all the outcomes equally likely?

Q6.

A regular six-sided dice is rolled once. Which outcome would be equally likely to rolling a multiple of 3?

rolling an even number

rolling a factor of 12

rolling a multiple of 4

## Exit quiz

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### 6 Questions

Q1.

An is a subset of a sample space.

Q2.

Which statement is true for this spinner?

The most likely outcome is for it to land on 'win'.

The two outcomes are equally likely to happen.

Q3.

In which spinner is landing on 'win' more likely than landing on 'lose'?

Q4.

A counter is selected at random form the bag. Which letter is most likely to be selected?

B

C

Q5.

A counter is selected at random form the bag. Which letter is least likely to be selected?

A

B

Q6.

A single dice is rolled once. Which event is the most likely to happen?

rolling a multiple of 4

rolling an odd number

rolling a square number